Hi Brian,
If this change is going to be permanent, I would recommend using a 301 redirect. You'll find information on the web elsewhere (even quotes from Google employees) saying that either will pass the same authority, but you should still stick with the best-practices of using a permanent (301) redirect anytime you know the redirect is going to be long-term.
I wouldn't worry too much about losing authority from your TLD, you're clearly not using this redirect for malicious or deceptive reasons. Plus, the brand power of the Smithsonian is such that it would take a LOT of really bad content and/or links to bring that down.
Hope that helps answer your question!
). You can specify in the View Settings of GA what your protocol is.